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Finding the Fourth Proportional to 73,682.16, 110,523.24 and 32,100

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Solution

The fourth proportional to 73,682.16, 110,523.24 and 32,100 is: 48,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,682.16 : 110,523.24 = 32,100 : x
  2. Step 2: Convert to fraction form
    73,682.16/110,523.24 = 32,100/x
  3. Step 3: Cross multiply
    73,682.16x = 110,523.24 × 32,100
  4. Step 4: Simplify right side
    73,682.16x = 3,547,796,004
  5. Step 5: Solve for x
    x = 3,547,796,004/73,682.16
  6. Step 6: Final answer
    x = 48,150

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.